Question

Two angles are complementary (the sum of their measures is 90 degrees). One angle measures 37 degrees. Find the measure of the other angle.

Answer 1

53

Explanation:

When two angles are complementary, it means that the sum of their measures is 90 degrees. Let's denote one angle as
`x` (measuring 37 degrees) and the other angle as
`y`.

So, we have:

`x + y = 90`

We're given that
`x` measures 37 degrees, so we can substitute this value into the equation:

`37 + y = 90`

Now, we can solve for
`y` by isolating it on one side of the equation:

`y = 90 - 37`

`y = 53`

So, we find that the measure of the other angle
`y` is 53 degrees.